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Elasto-Plastic Analysis of Stress and Strain Concentration by the Combination of Body Force Method and Finite Element Method

  • Yukitaka Murakami
  • Yukihiko Uchiyama
Conference paper

Summary

A numerical method based on the combination of the body force method (BFM) and the finite element method (FEM) is developed for the elasto-plastic analysis of the problems in which the plastic regions are small in comparison with other elastic regions.

The usefulness of the method is demonstrated by the analysis of stress-strain concentration at a circular or an elliptical hole in an infinite plate. The accuracy of Neuber’s rule is discussed on the basis of the numerical results.

Keywords

Finite Element Method Plastic Zone Line Element Resultant Force Stress Concentration Factor 
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References

  1. 1.
    Nisitani, H.: The two-dimensional stress problem solved using an electric digital computer. Bull. J.S.M.E. 11 (1968) 14–23.CrossRefGoogle Scholar
  2. 2.
    Chen, D.H.; Nisitani, H.: Extension of body force method to elastic-plastic problems. Trans. Japan Soc. Mech. Engrs. 51 (1985) 571–578.CrossRefGoogle Scholar
  3. 3.
    Moriguchi, S.: Theory of two-dimensional elasticity. Tokyo, Japan: Iwanamishoten(1957).Google Scholar
  4. 4.
    Murakami, Y.: Application of the body force method to the calculation of stress intensity factors for a crack in the arbitrarily shaped plate. Engng. Frac. Mech. 10 (1978) 497–513.CrossRefGoogle Scholar

Copyright information

© Springer Japan 1986

Authors and Affiliations

  • Yukitaka Murakami
    • 1
  • Yukihiko Uchiyama
    • 1
  1. 1.Department of Mechanics & Strength of SolidsKyushu UniversityFukuoka, 812Japan

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